The experimental population of fruit flies increases according to the law of exponential growth such

Question

The experimental population of fruit flies increases according to the law of exponential growth such that the number, $N$, of fruit flies after $t$ days is given by

$N=N_0\mathrm{e}^{kt}$.

$N_0$ is the initial population of fruit flies. $N_0$ and $k$ are positive constants. After $4$ days, it is observed that the population of fruit flies has doubled.

Find the exact value of $k$.[3]
Suggest one practical reason why the model $N=N_0\mathrm{e}^{kt}$ may not accurately predict the population of fruit flies for very large values of $t$.[1]

Accepted Answer

(a) $k=\dfrac{\ln2}{4}$ (b) Limited food or space prevents indefinite exponential growth.

2026 NYGH P2 Q3

2026 NYGH P2 Q3

Solution:

Solution locked